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Finding the Third Proportional to 9,747,793.13 and 21,121,036.88

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Solution

The third proportional to 9,747,793.13 and 21,121,036.88 is: 45,764,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747,793.13 : 21,121,036.88 = 21,121,036.88 : x
  2. Step 2: Convert to fraction form
    9,747,793.13/21,121,036.88 = 21,121,036.88/x
  3. Step 3: Cross multiply
    9,747,793.13x = 21,121,036.88 × 21,121,036.88
  4. Step 4: Simplify right side
    9,747,793.13x = 446,098,198,675,109.75
  5. Step 5: Solve for x
    x = 446,098,198,675,109.75/9,747,793.13
  6. Step 6: Final answer
    x = 45,764,019.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.